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Finding the Fourth Proportional to 12,727.87, 19,084.13 and 5,706.61

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Solution

The fourth proportional to 12,727.87, 19,084.13 and 5,706.61 is: 8,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.87 : 19,084.13 = 5,706.61 : x
  2. Step 2: Convert to fraction form
    12,727.87/19,084.13 = 5,706.61/x
  3. Step 3: Cross multiply
    12,727.87x = 19,084.13 × 5,706.61
  4. Step 4: Simplify right side
    12,727.87x = 108,905,703.82
  5. Step 5: Solve for x
    x = 108,905,703.82/12,727.87
  6. Step 6: Final answer
    x = 8,556.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.